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10121421441141 = 3719331761967
BaseRepresentation
bin1001001101001001001110…
…1110101100100001110101
31022211121011021002120000000
42103102103232230201311
52311312132342104031
633305414455541513
72063151154513053
oct223222356544165
938747137076000
1010121421441141
11325251a5a198a
12117572368a899
135855a498a70a
1426dc451691d3
15128434ac63e6
hex93493bac875

10121421441141 has 128 divisors (see below), whose sum is σ = 16064686387200. Its totient is φ = 6358207363200.

The previous prime is 10121421441139. The next prime is 10121421441211. The reversal of 10121421441141 is 14114412412101.

It is a happy number.

10121421441141 is a `hidden beast` number, since 1 + 0 + 1 + 214 + 2 + 1 + 441 + 1 + 4 + 1 = 666.

10121421441141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121421441141 - 21 = 10121421441139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121421401141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10466826240 + ... + 10466827206.

It is an arithmetic number, because the mean of its divisors is an integer number (125505362400).

Almost surely, 210121421441141 is an apocalyptic number.

It is an amenable number.

10121421441141 is a deficient number, since it is larger than the sum of its proper divisors (5943264946059).

10121421441141 is an frugal number, since it uses more digits than its factorization.

10121421441141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 10121421441141 its reverse (14114412412101), we get a palindrome (24235833853242).

The spelling of 10121421441141 in words is "ten trillion, one hundred twenty-one billion, four hundred twenty-one million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 243 331 513 729 761 967 993 1539 2187 2283 2901 2979 4617 6289 6849 8703 8937 13851 14459 18373 18867 20547 26109 26811 41553 43377 55119 56601 61641 78327 80433 130131 165357 169803 184923 234981 241299 251891 320077 390393 496071 509409 554769 704943 723897 735887 755673 960231 1171179 1488213 1528227 1664307 2114829 2207661 2267019 2880693 3513537 4464639 4584681 4785929 6081463 6622983 6801057 8642079 10540611 13393917 13754043 13981853 14357787 18244389 19868949 20403171 25926237 31621833 40181751 41945559 43073361 54733167 59606847 61209513 77778711 125836677 129220083 164199501 178820541 183628539 233336133 243578597 377510031 387660249 492598503 536461623 550885617 700008399 730735791 1132530093 1162980747 1477795509 1609384869 2192207373 3397590279 3488942241 4433386527 4627993343 6576622119 10192770837 10466826723 13300159581 13883980029 19729866357 30578312511 41651940087 59189599071 124955820261 177568797213 374867460783 532706391639 1124602382349 3373807147047 10121421441141